What are the rarest US coins?

Are you curious about the rarest US coins that collectors are eager to get their hands on? These rare treasures have not only historical significance but also astounding monetary value. Some of the most sought-after include the 1913 Liberty Head nickel, which is incredibly scarce due to production errors and only a handful of genuine specimens existing. The 1804 silver dollar, often referred to as the "King of American Coins," is another highly valuable and elusive piece, with only 15 known examples in existence. Additionally, the 1933 Saint-Gaudens double eagle gold coin is a fascinating rarity, as it was never officially released into circulation and only a few survived the government's melting order. How do you think these coins became so rare, and what makes them so desirable among collectors?